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Finding the Fourth Proportional to 68,162.50, 102,243.75 and 31,226.50

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Solution

The fourth proportional to 68,162.50, 102,243.75 and 31,226.50 is: 46,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,162.50 : 102,243.75 = 31,226.50 : x
  2. Step 2: Convert to fraction form
    68,162.50/102,243.75 = 31,226.50/x
  3. Step 3: Cross multiply
    68,162.50x = 102,243.75 × 31,226.50
  4. Step 4: Simplify right side
    68,162.50x = 3,192,714,459.38
  5. Step 5: Solve for x
    x = 3,192,714,459.38/68,162.50
  6. Step 6: Final answer
    x = 46,839.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.